Regularity results for rough solutions of the incompressible Euler equations via interpolation methods
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Publication:5130913
DOI10.1088/1361-6544/ab8fb5zbMath1450.35209arXiv1910.00902OpenAlexW3047575995MaRDI QIDQ5130913
Luigi Forcella, Maria Colombo, Luigi De Rosa
Publication date: 29 October 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.00902
Smoothness and regularity of solutions to PDEs (35B65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Euler equations (35Q31)
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Cites Work
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- Dissipative continuous Euler flows
- Dissipative Euler flows and Onsager's conjecture
- Non-uniqueness for the transport equation with Sobolev vector fields
- Interpolation of bilinear operators between quasi-Banach spaces
- Theory of function spaces
- Onsager's conjecture on the energy conservation for solutions of Euler's equation
- A proof of Onsager's conjecture
- Ill-posedness of Leray solutions for the hypodissipative Navier-Stokes equations
- Nonuniqueness of weak solutions to the Navier-Stokes equation
- Compensated compactness and Hardy spaces
- Convex integration and phenomenologies in turbulence
- On a class of interpolation spaces
- Bilinear interpolation theorems and applications
- Local formulae for the hydrodynamic pressure and applications
- Fourier Analysis and Nonlinear Partial Differential Equations
- Onsager's Conjecture for Admissible Weak Solutions
- The existence of regular boundary points for non-linear elliptic systems
- Regularity in Time of Hölder Solutions of Euler and Hypodissipative Navier--Stokes Equations
